10666716672 has 80 divisors (see below), whose sum is σ = 28898686080. Its totient is φ = 3495278592.

The previous prime is 10666716659. The next prime is 10666716673. The reversal of 10666716672 is 27661766601.

It is a super-2 number, since 2×10666716672² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10666716673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31773 + ... + 149475.

It is an arithmetic number, because the mean of its divisors is an integer number (361233576).

Almost surely, 2^10666716672 is an apocalyptic number.

10666716672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10666716672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14449343040).

10666716672 is an abundant number, since it is smaller than the sum of its proper divisors (18231969408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10666716672 is an equidigital number, since it uses as much as digits as its factorization.

10666716672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117783 (or 117767 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 10666716672 in words is "ten billion, six hundred sixty-six million, seven hundred sixteen thousand, six hundred seventy-two".